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Find equation of the circle which touche...

Find equation of the circle which touches circle `x^(2) + y^(2) - 2x - 4y - 20 = 0` of point (5,5) externally and radius is 5 unit.

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The correct Answer is:
`x^(2) + y^(2) - 18x - 16y + 120 = 0`
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